Given the function h(x) = -x2 -X2 – 5x + 8, determine the average rate of change of the function over the interval -4 < x < -2​

Answers

Answer 1

Hi there!

[tex]\large\boxed{\text{Average rate = 1}}[/tex]

We can calculate the average rate of change using the following:

[tex]ARC = \frac{f(b)-f(a)}{b-a}[/tex]

Thus, we can plug in the endpoints of -4 and -2. Find the corresponding y-values for these x-values:

f(-2) = -(-2)² - 5(-2) + 8  = -4 + 10 + 8 = 14

f(-4) = -(-4)² - 5(-4) + 8 = -16 + 20 + 8 = 12

Plug in the solved for values into the ARC equation:

[tex]ARC(slope) = \frac{14-12}{-2(-4)} = \frac{2}{2} = 1[/tex]


Related Questions

find the center and radius of the circle

Answers

How do we answer is there’s no pic??

Pls HELP I don’t understand:(

Answers

Answer:

Step-by-step explanation:

This problem consists a very special right triangle: 30, 60, and 90 degree right triangle.

The 60 degree angle represents the opposite side, which in this case is 12. 12 = n[tex]\sqrt{3}[/tex] n = 4[tex]\sqrt{3}[/tex]

y = 2n, so it is 8[tex]\sqrt{3}[/tex]

WILL GIVE BRAINLIEST

Describe the end behavior of the following function:
F(x) = 2x² + x²
A. The graph of the function starts high and ends low.
B. The graph of the function starts low and ends high.
O C. The graph of the function starts high and ends high.
O D. The graph of the function starts low and ends low.

Answers

Answer:

C

Step-by-step explanation:

Please I need someone to help me with this math problem!!

Answers

= 2x² + 7/x

Step-by-step explanation:

2x³ + 7/x

= 2 • x • x • x + 7/x

= 2 • x • x • x/x + 7/x

= 2 • x • x + 7/x

= 2x² + 7/x

-TheUnknownScientist

Answer:

2x^2 + 7/x................

the probability that two cards are selected at random from a deck of cards containing a face card and diamond without replacement

Answers

Answer:

6/2652 could possibly be the answer?

it really depends on the amount

Step-by-step explanation:

The stem and leaf plot shows the number of points scored each game during his 15 game season how many games did the team score 70 points

Answers

Answer:

the answer is 8 edge 2020

Step-by-step explanation:

can i get brainlist to

math question pls help

Answers

it’s either yellow or red i think, sorry i’m not 100% sure

When you add or subtract Polynomials you end up with other......
100 points help plz

Integers
Polynomials
Whole numbers
Binomials

Answers

It will end up with other integers.

What is value of A=sin -1(2/10 rounded to three decimal places

Answers

Answer:

If you meant: A = sin-1(2/10), A = 0.201

If you meant: A = sin(-12/10), A = -0.932

Step-by-step explanation:

Solve the following polynomial equation. Identify all solutions.

x^(3)+54x^(2)+53x=0

Brainlest + Thanks :)
help asap

Answers

x(x+1)(x+53)
With factoring!

Hope this helps!

find the inverse f(x) = 3х^2 - |

Answers

Answer:

[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]

Step-by-step explanation:

f(x) = 3[tex]x^{2}[/tex] - |

Let y= 3[tex]x^{2}[/tex]-1

Both side -1

y+1=3[tex]x^{2}[/tex]  

[tex]x^{2}[/tex]=    [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]

x=  [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]

[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]

-2x+6y=12 x-3y=3 graph the equations

Answers

Answer:

here ya go bruv:

Step-by-step explanation:

:3

Answer:

The graph, with the answers, is in the picture below.

Step-by-step explanation:

−2x + 6y = 12

Slope:  [tex]\frac{1}{3}[/tex]    y-intercept: (0, 2)

LINE COLOR: RED

x − 3y = 3  

Slope:  [tex]\frac{1}{3}[/tex]   y-intercept: (0, −1)

LINE COLOR: BLUE

Can someone plz help

Answers

you’d add 42.7 and 90 to get 132.7 then you’d subtract that to find the missing number and get 47.3

Use a graphical method to find estimates for the solutions of the simultaneous equations x^2 + y^2=2.25 y-x=1
NEED ASAP WILL MARK AS BRAINLIEST

Answers

Answer:

A) which graph represents the equation x^2 + y^2 = 2.25?

First, the general equation for a circle can be written as:

(x - a)^2 + (y - b)^2 = R^2

This is a circle of radius R centered in the point (a, b).

Then we can rewrite our equation as:

(x - 0)^2 + (y - 0)^2 = (√2.25)^2 = (1.5)^2

Then we have a circle centered at the point (0, 0) and with a radius equal to 1.5

Then we can see that the correct one is graph C.

b) Now we want to solve the system:

x^2 + y^2 = 2.25

y - x = 1

graphically.

To do it we need to graph both equations and see in which points do they intersect.

We already have the first equation graphed, so we only need to also graph the linear equation:

y - x = 1

y = 1 + x

An example of this can be seen in the graph below:

There we can estimate one of the intersections as (0.4, 1.4) and the other as (-1.4, -0.4)

ylan can run a mile in 9.5 minutes. Over the next 6 months, he wants reduce his time so he can run a mile in 8 minutes or less, Which equality can Dylan use to find t, the amount of time he must cut each honth to reach his goal?​

Answers

Answer:

So I never really knew you

God, I really tried to

Blindsided, addicted

Felt we could really do this

But really I was foolish

Hindsight, it's obvious

Step-by-step explanation:

Negative five times two

Answers

Answer = -10

(A negative multiplied by a positive is negative. 5 times 2 is 10; therefore, the answer is -10.

Answer:

-10

Step-by-step explanation:

When multiplying a negative number by a positive number, you multiply the numbers normally and then add on a negative sign. When dealing with signs in multiplication/division, two positives make a positive, two negatives make a positive, and one negative and one positive make a negative.

Plz chooses one more question because I already answered one

Answers

Answer:

C and E

sorry for the late answer

Hope it helps!Hope it helps!:)

What is 8/9 - (2/3)² ?​

Answers

Answer:

4 over 9, 4/9

Step-by-step explanation:

have a good day:)

i think it’s 4/9 sorry it’s wrong

Find the distance between (-1,4) and (-1,12)

Answers

Answer:

8 units

Step-by-step explanation:

Since both are on the same place in terms of the x-axis, this makes it much easier. Just go from (-1,4) and move upwards upon the graph until your at (-1,12). You counted 8 units. *mic drop*

Answer:

Step-by-step explanation:

8 because [tex]\sqrt{(-1+1)^{2}+{(12-4)^{2}}[/tex] = sqrt(8^2), which equal 8

If the effective annual interest rate of a loan is 14.6%, what is the nominal annual interest rate, correct to one decimal
place, if interest compounds monthly?

Answers

Answer:

13.7%

Step-by-step explanation:

Nominal interest rate = [tex](\sqrt[m]{1 + effective annual interest rate} - 1 \ ) m[/tex]  

where m = number of compounding = 12

([tex]\sqrt[12]{1.146}[/tex] - 1 ) x 12 = 0.137054 = 13.7%

To round to one decimal place means that there should be only one figure after the decimal place.

Find the area of this figure please

Answers

Answer:

A. 122cm^2

Step-by-step explanation:

We can find the area of this figure by finding the area of each rectangle, then combining the areas.

The formula for area of a rectangle is simple; the formula is length x width.

The first rectangle has side lengths of 12 and 6.      

12 x 6 = 72.

The area of the first rectangle is 72 cm.

Now, for the second rectangle.

Formula: length x width

10 x 5 = 50

The area of the rectangle is 50 cm.

Now we add both areas.

50 + 72 = 122 cm.

Therefore, the area of the figure is 122 cm^2.

Translate the sentence into an inequality.
The quotient of b and 3 is less than or equal to 18.

Answers

Answer:

b/3 <= 18

I hope this helps you!

And congratulations on your first question!

Convert 1.25% into fraction

Answers

Answer:

5/4

Step-by-step explanation:

Work out
5 1/4+ 1/2 x2/3
Give your answer as a mixed number

Answers

Answer:

5 10/12

Step-by-step explanation:

using BODMAS

1/2×2/3=1/3

THEN; 5 1/4+1/3

Change 5 1/4 to 21/4 then add to 1/3

you get 70/12

divide 70÷12

answer 5 10/12

hope it helped

Please fill in the missing cells and describe the rule

Answers

Answer:

The OUT for -3 is 6, and the OUT for 1 is 2.

Step-by-step explanation:

The rule is for any x, OUT(x) = IN(x) * (x+1)

Below is showing the rule:

IN=2: 2*3=6

IN=4: 4*5=20

IN=10: 10*11=110

etc.

If I helped, a brainliest would be greatly appreciated!

please help i need to know asap!

Answers

Answer:

QR because its is more responsible than PR

What is the median of the data?

11,16,12,7,23,9,5,5

Answers

Answer:

5,5,7,*9,11,*12,16,23

Step-by-step explanation:

Since, the data has an even amount of numbers once, you put your numbers in order you place your pointer fingers from the 1st to last number & continue to move closer. There is an even amount of numbers so you would have to add the 2 numbers up & then divide them by 2.

9+11=20 divided by 2=10

The point (- 3, 6) is on a circle with a center at (2, 3) What is the equation of the circle?

Answers

Answer:

[tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

Step-by-step explanation:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]   where (h, k) is the center and r is the radius

In this case h = 2 and k = 3 and r = 6 (see below)

r adius =

[tex]\sqrt{(2 + 3)^{2} + (3 - 6)^{2} } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36} = 6[/tex]

Therefore,  [tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

The point (- 3, 6) is on a circle with a center at (2, 3) So, the equation of the circle will be (x-2)^{2} +(y-3)^{2}= 6^{2}.

What is the general equation of a circle?

The general equation of a circle of radius represents all the points that lie on the circumference of the given circle.

The general equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

where (h, k) is the center and r is the radius

The point (- 3, 6) is on a circle with a center at (2, 3).

here, h = 2 and k = 3

[tex]\sqrt{(2+3)^{2} +(3-6)^{2}} \\\\\sqrt{5^2+3^2} \\\\\sqrt{36} \\\\6[/tex]

therefore, the radius is 6 units.

Now, the equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

[tex]\rm (x-2)^{2} +(y-3)^{2}= 6^{2}[/tex]

Learn more about the equation of a circle;

https://brainly.com/question/10618691

a side of a square is 83/2 inches. using the formula A=s^2 determine the area of a square

Answers

Answer:

47

Step-by-step explanation:

Tai sailed east from the marina for 48 miles and then sailed south for 14 miles, as shown in the diagram. 220x56 What is the shortest distance Tai can sail to return to the marina? A 62 mi B 82 mi C 50 mi D 34 mi

Answers

Answer:

C 50 mi

Step by step explanation:

The shortest distance Tai can sail to return to the marina is 50 miles.

What is Pythagoras Theorem?

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Here, base = 48 miles

         perp. = 14 miles

By Pythagoras Theorem,

(Hypo.)² = (Perp.)² + (Base)²

H² = 14² + 48²

H² = 196 + 2304

 H² = 2500

 H = 50 miles

Thus, the shortest distance Tai can sail to return to the marina is 50 miles.

Learn more about Pythagoras theorem from:

https://brainly.com/question/343682

#SPJ2

Other Questions
Which role does the resolution play in plot development?1 The resolution is the crisis, or the turning point, of the story's conflict2 The resolution is the situation in which the main characters find themselves at the beginning of the story.3 The resolution is the episode providing the final answers to the problem.4 The resolution is the sequence of events that lead to greater and greater complications. The product of two rational numbers is irrational. Officials working for the National Biking Association have made different claims about how Jordan Jones won the American Cycling Classic this year. Right now, which claim do you think is the strongest?Claim 1: Jordan Jones increased his cellular respiration and improved his performance by blood doping.Claim 2: Jordan Jones increased his cellular respiration and improved his performance by changing his pre-race meal.Claim 3: Jordan Jones increased his cellular respiration and improved his performance by training at a higher altitude.Why do you think that claim is the strongest? the lungs and respiratory system work closely with the __ system to make sure oxygen reaches all the cells of our body I got nothing to do can we like talk about something cool and not....yall knowty what is the full from of CPU? how many neurons are in lithium Can someone help me with this Asap Which of the following is a specialist species?a. Giant Pandasb. HorsesC. Humansd. Rabbits Which country funded Christopher Columbuss expedition?FranceItalyPortugalSpain I GIVING BRAINLIEST!!!PLEASE HELP!! Snoqualmie is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table. Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packagesand 7 large packages? HELP ITS TIMED WILL GIVE BRAINLYIST Miles Tugo and Ben Travlun are riding in a bus at highway speed on a nice summer day when an unlucky bug splatters onto the windshield. Miles and Ben begin discussing the physics of the situation. Miles suggests that the momentum change of the bug is much greater than that of the bus. After all, argues Miles, there was no noticeable change in the speed of the bus compared to the obvious change in the speed of the bug. Ben disagrees entirely, arguing that that both bug and bus encounter the same force, momentum change, and impulse. Who do you agree with Complete the paragraph by choosing the answers from the drop-down menus.The air over Earths surfaces absorbs heat from the materials of Earth. In Section 3 of the experiment, the air over the sand the air over the water because sand water. This difference in temperatures makes the air over the sand the air over the water so it rises. The air above the water takes the place of the air above the sand. This movement of air creates a sea breeze. Read and match each sentence with its correct idiomatic expression. (8 points)1.Esteban always loved going on boat tours. Now, he is afraid of the water.2.There was no comparison between the hostel and the cabin. The cabin was way better!3.Even though I have been boating my whole life, I still wear a life jacket.4.Michael told me that he was in Patagonia, but it was not true. He tricked me!a.Dar la vuelta a la tortillab.No hay colorc.Andar con pies de plomod.Tomar el pelo HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE Jay tosses two coins several times. The results are below.H HeadsT TailsToss 1: H;HToss 2: H;TToss 3: T;HToss 4: T;TToss 5: T;H What is the experimental probability that the coins will land on different sides on the next toss?O 1/5O 2/5O 3/5O 4/5 An Article on the importance of taking care of the orphan.